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Finding the Fourth Proportional to 1,859.90, 2,567.51 and 1,197.12

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Solution

The fourth proportional to 1,859.90, 2,567.51 and 1,197.12 is: 1,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.90 : 2,567.51 = 1,197.12 : x
  2. Step 2: Convert to fraction form
    1,859.90/2,567.51 = 1,197.12/x
  3. Step 3: Cross multiply
    1,859.90x = 2,567.51 × 1,197.12
  4. Step 4: Simplify right side
    1,859.90x = 3,073,617.57
  5. Step 5: Solve for x
    x = 3,073,617.57/1,859.90
  6. Step 6: Final answer
    x = 1,652.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.